Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

24th June 2009

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Histograms2 marks
On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 3. How many more values are in the wider class?
2
Bounds3 marks
A rectangle is 19 cm by 8 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Iteration3 marks
Use the iteration x(n+1) = cube root of (10x(n) + 9) with x(0) = 5. Work out x(1) to 3 decimal places.
4
Velocity Time Graphs3 marks
A cyclist speeds up steadily from 2 m/s to 19 m/s over 8 seconds. Use the area under the velocity-time graph to find the distance travelled.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a - 4b and vector RS = 6a - 8b. What does this show about PQ and RS?

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